Question

The area of a trapezium is $540c{m}^2$. If the ratio of parallel sides is $7:5$ and the distance between them is $18cm$, find the lengths of parallel sides.

Answer 1

Area of trapezium = 540 $c{m}^2$

Let the paraliel sides be 7x & 5x

& height = 18 cm

540 $=\frac{1}{2}h(a+b)$ where a,b are sids of trapezium

$\Rightarrow 1080=18(7x+5x)$

$\Rightarrow 60=12x$

$\Rightarrow x=5$

Sides = 25 , 35